3(p-1)=11p-45

Solution for 3(p-1)=11p-45 equation:

Simplifying
3(p + -1) = 11p + -45

Reorder the terms:
3(-1 + p) = 11p + -45
(-1 * 3 + p * 3) = 11p + -45
(-3 + 3p) = 11p + -45

Reorder the terms:
-3 + 3p = -45 + 11p

Solving
-3 + 3p = -45 + 11p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-11p' to each side of the equation.
-3 + 3p + -11p = -45 + 11p + -11p

Combine like terms: 3p + -11p = -8p
-3 + -8p = -45 + 11p + -11p

Combine like terms: 11p + -11p = 0
-3 + -8p = -45 + 0
-3 + -8p = -45

Add '3' to each side of the equation.
-3 + 3 + -8p = -45 + 3

Combine like terms: -3 + 3 = 0
0 + -8p = -45 + 3
-8p = -45 + 3

Combine like terms: -45 + 3 = -42
-8p = -42

Divide each side by '-8'.
p = 5.25

Simplifying
p = 5.25